p-adic logarithms for polynomial dynamics

dc.creatorGhioca, Dragos
dc.creatorTucker, Thomas J.
dc.date2007-05-28
dc.date2008-06-23
dc.date.accessioned2026-07-07T09:45:58Z
dc.date.available2026-07-07T09:45:58Z
dc.descriptionWe prove a dynamical version of the Mordell-Lang conjecture for subvarieties of the affine space A^g over a p-adic field, endowed with polynomial actions on each coordinate of A^g. We use analytic methods similar to the ones employed by Skolem, Chabauty, and Coleman for studying diophantine equations.
dc.description11 pages. The results of this preprint have been subsumed by those of the authors' more recent preprint "Periodic points, linearizing maps, and the dynamical Mordell-Lang problem" (arXiv:0805.1560v1)
dc.identifierhttps://arxiv.org/abs/0705.4047
dc.identifierhttp://arxiv.org/abs/0705.4047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/163371
dc.subjectNumber Theory
dc.subjectDynamical Systems
dc.subject14K12 (Primary); 37F10 (Secondary)
dc.titlep-adic logarithms for polynomial dynamics
dc.typetext

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